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A novel approach for solving a multiple judge, multiple criteria decision making (MCDM) problem is proposed. The ranking of alternatives that are evaluated based on multiple criteria is difficult, since the presence of multiple criteria…

Applications · Statistics 2018-07-17 Daniel Kostner

In the matroid secretary problem, the elements of a matroid $\mathcal{M}$ arrive in random order. Once we observe an item we need to irrevocably decide whether or not to accept it. The set of selected elements should form an independent set…

Data Structures and Algorithms · Computer Science 2020-01-06 Mohammad Shadravan

We consider a sequential decision-making problem where an agent can take one action at a time and each action has a stochastic temporal extent, i.e., a new action cannot be taken until the previous one is finished. Upon completion, the…

Machine Learning · Computer Science 2020-03-26 P Sharoff , Nishant A. Mehta , Ravi Ganti

Auctions are widely used in exchanges to match buy and sell requests. Once the buyers and sellers place their requests, the exchange determines how these requests are to be matched. The two most popular objectives used while determining the…

Data Structures and Algorithms · Computer Science 2024-03-06 Mohit Garg , Suneel Sarswat

We provide improved space-time tradeoffs for permutation problems over additively idempotent semi-rings. In particular, there is an algorithm for the Traveling Salesperson Problem that solves $N$-vertex instances using space $S$ and time…

Data Structures and Algorithms · Computer Science 2026-04-09 Afrouz Jabal Ameli , Jesper Nederlof , Shengzhe Wang

Consider a barter exchange problem over a finite set of agents, where each agent owns an item and is also associated with a (privately known) wish list of items belonging to the other agents. An outcome of the problem is a (re)allocation of…

Computer Science and Game Theory · Computer Science 2024-10-10 Yuval Emek , Matan-El Shpiro

In the Shift-Bribery problem we are given an election, a preferred candidate, and the costs of shifting this preferred candidate up the voters' preference orders. The goal is to find such a set of shifts that ensures that the preferred…

Computer Science and Game Theory · Computer Science 2019-08-29 Piotr Faliszewski , Pasin Manurangsi , Krzysztof Sornat

Constant-factor, polynomial-time approximation algorithms are presented for two variations of the traveling salesman problem with time windows. In the first variation, the traveling repairman problem, the goal is to find a tour that visits…

Data Structures and Algorithms · Computer Science 2009-05-28 Greg N. Frederickson , Barry Wittman

In a recently introduced model of successive committee elections (Bredereck et al., AAAI-20) for a given set of ordinal or approval preferences one aims to find a sequence of a given length of "best" same-size committees such that each…

Computer Science and Game Theory · Computer Science 2025-05-27 Pallavi Jain , Andrzej Kaczmarczyk

Consider a customer who needs to fulfill a shopping list, and also a personal shopper who is willing to buy and resell to customers the goods in their shopping lists. It is in the personal shopper's best interest to find (shopping) routes…

Databases · Computer Science 2020-09-28 Samiul Anwar , Francesco Lettich , Mario A. Nascimento

The random-order or secretary model is one of the most popular beyond-worst case model for online algorithms. While it avoids the pessimism of the traditional adversarial model, in practice we cannot expect the input to be presented in…

Data Structures and Algorithms · Computer Science 2020-06-23 Thomas Kesselheim , Marco Molinaro

A variant of the classical knapsack problem is considered in which each item is associated with an integer weight and a qualitative level. We define a dominance relation over the feasible subsets of the given item set and show that this…

Data Structures and Algorithms · Computer Science 2020-02-13 Luca E. Schäfer , Tobias Dietz , Maria Barbati , José Rui Figueira , Salvatore Greco , Stefan Ruzika

We consider an assortment optimization problem where a customer chooses a single item from a sequence of sets shown to her, while limited inventories constrain the items offered to customers over time. In the special case where all of the…

Data Structures and Algorithms · Computer Science 2020-07-28 Elaheh Fata , Will Ma , David Simchi-Levi

We describe a method for time-critical decision making involving sequential tasks and stochastic processes. The method employs several iterative refinement routines for solving different aspects of the decision making problem. This paper…

Artificial Intelligence · Computer Science 2013-03-08 Thomas L. Dean , Leslie Pack Kaelbling , Jak Kirman , Ann Nicholson

We study the secretary problem in which rank-ordered lists are generated by the Mallows model and the goal is to identify the highest-ranked candidate through a sequential interview process which does not allow rejected candidates to be…

Methodology · Statistics 2023-03-03 Xujun Liu , Olgica Milenkovic , George V. Moustakides

We consider the problem of allocating multiple heterogeneous resources geographically and over time to meet demands that require some subset of the available resource types simultaneously at a specified time, location, and duration. The…

Optimization and Control · Mathematics 2022-06-15 Arden Baxter , Pinar Keskinocak , Mohit Singh

For every list of integers x_1, ..., x_m there is some j such that x_1 + ... + x_j - x_{j+1} - ... - x_m \approx 0. So the list can be nearly balanced and for this we only need one alternation between addition and subtraction. But what if…

Data Structures and Algorithms · Computer Science 2010-08-02 Christian Glaßer , Christian Reitwießner , Maximilian Witek

This paper introduces a problem in which the state of a system needs to be determined through costly tests of its components by a limited number of testing units and before a given deadline. We also consider a closely related search problem…

Discrete Mathematics · Computer Science 2021-01-15 Alessandro Agnetis , Ben Hermans , Roel Leus , Salim Rostami

The task of learning to pick a single preferred example out a finite set of examples, an "optimal choice problem", is a supervised machine learning problem with complex, structured input. Problems of optimal choice emerge often in various…

Artificial Intelligence · Computer Science 2017-07-07 Marina Sapir

We consider the optimal duration allocation in a decision making queue. Decision making tasks arrive at a given rate to a human operator. The correctness of the decision made by human evolves as a sigmoidal function of the duration…

Optimization and Control · Mathematics 2010-10-11 Vaibhav Srivastava , Ruggero Carli , Francesco Bullo , Cédric Langbort
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